SSAT Upper Level Quantitative Flashcards: Multi Operation Problems

Study Multi Operation Problems in SSAT Upper Level Quantitative with focused flashcards that help you recognize the idea, recall the key rule, and apply it in practice-style prompts.

SSAT Upper Level Quantitative

Multi Operation Problems

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QUESTION

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What is the value of $\frac{12}{3}\left(5-2\right)+7$ ?

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ANSWER

$19$ . Division first, then parentheses, implied multiplication, and addition per PEMDAS.

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What this deck covers

This deck focuses on Multi Operation Problems, giving you a quick way to review the definitions, rules, and examples that matter most for SSAT Upper Level Quantitative.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

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Flashcard 1: What is the value of $\frac{12}{3}\left(5-2\right)+7$ ?

Answer: $19$ . Division first, then parentheses, implied multiplication, and addition per PEMDAS.

Flashcard 2: What is the value of $\frac{3}{4}\div\left(\frac{1}{2}+\frac{1}{4}\right)$ ?

Answer: $1$ . Add fractions in parentheses, then divide by inverting and multiplying.

Flashcard 3: What is the value of $\left(0.6\times 50\right)-\left(\frac{3}{5}\times 20\right)$ ?

Answer: $18$ . Compute each multiplication in parentheses, then subtract decimals.

Flashcard 4: What is the value of $\left(\frac{1}{2}+\frac{1}{3}\right)\left(\frac{1}{2}-\frac{1}{3}\right)$ ?

Answer: $\frac{5}{36}$ . Difference of squares formula applies: $(a+b)(a-b) = a^2 - b^2$ with fractions.

Flashcard 5: What is the value of $\left|3-8\right|+\left(-2\right)^3$ ?

Answer: $-3$ . Absolute value yields positive, added to negative cube of integer.

Flashcard 6: What is the value of $2^3\times 3+4^2\div 2$ ?

Answer: $32$ . Exponents first, then multiplication and division left to right, finally addition.

Flashcard 7: What is the value of $\frac{x^2-9}{x-3}$ when $x=6$ ?

Answer: $9$ . Substitute value into algebraic fraction and simplify numerator and denominator.

Flashcard 8: What is the value of $\left(12\div 4\right)^2-\left(3\times 2\right)$ ?

Answer: $3$ . Division inside parentheses, square the result, then subtract product.

Flashcard 9: What order of operations should you use to evaluate an expression with parentheses and exponents?

Answer: Use $\text{PEMDAS}$ : parentheses, exponents, multiply/divide, add/subtract. PEMDAS ensures consistent evaluation by prioritizing parentheses, then exponents, followed by multiplication/division left to right, and addition/subtraction left to right.

Flashcard 10: What is the value of $\frac{3}{4}+\frac{1}{8}\times 4$ ?

Answer: $\frac{5}{4}$ . Multiplication precedes addition, so compute fraction multiplication first then add.

Flashcard 11: What is the value of $18-6\div 3\times 4$ ?

Answer: $10$ . Perform division and multiplication from left to right before subtraction, per order of operations.

Flashcard 12: What is the value of $\left(\frac{2}{3}\right)\div\left(\frac{4}{9}\right)+1$ ?

Answer: $\frac{5}{2}$ . Division of fractions involves multiplying by reciprocal, then add the integer.

Flashcard 13: What is the value of $7+3\left(2-\frac{5}{2}\right)$ ?

Answer: $\frac{11}{2}$ . Compute inside parentheses, multiply by coefficient, then add.

Flashcard 14: What is the value of $\frac{16}{\left(2^3\right)}+\frac{9}{3}$ ?

Answer: $5$ . Exponent in denominator first, then divide each term and add results.

Flashcard 15: What is the value of $\left(2.5\right)^2-\left(1.5\right)^2+\left(3\right)$ ?

Answer: $7$ . Difference of squares plus integer: $(a^2 - b^2) + c$ with decimals.

Flashcard 16: What is the value of $\left(\frac{5}{6}-\frac{1}{3}\right)\div\frac{1}{4}$ ?

Answer: $2$ . Subtract fractions in parentheses, then divide by inverting and multiplying.

Flashcard 17: What is the value of $\frac{9}{2}-\left(\frac{3}{4}\times 8\right)$ ?

Answer: $-\frac{3}{2}$ . Multiplication in parentheses first, then subtract from fraction.

Flashcard 18: What is the value of $\left(6-\frac{3}{2}\right)\times 4$ ?

Answer: $18$ . Subtract fractions within parentheses first, then multiply by the integer.

Flashcard 19: What is the value of $5-\left[2-\left(3-4\right)\right]$ ?

Answer: $2$ . Evaluate innermost parentheses first, then work outward subtracting nested brackets.

Flashcard 20: What is the value of $\frac{1}{2}ab$ when $a=8$ and $b=\frac{3}{4}$ ?

Answer: $3$ . Multiply variables by fraction after substituting given values.

Flashcard 21: What is the value of $\frac{2}{5}\cdot 15-\frac{3}{10}\cdot 20$ ?

Answer: $0$ . Compute each multiplication separately, then subtract the results.

Flashcard 22: What is the value of $2\left[3x-4\right]$ when $x=5$ ?

Answer: $22$ . Substitute variable, compute inside brackets, then multiply by coefficient.

Flashcard 23: What is the value of $\frac{2\left(3+7\right)}{5}-\frac{6}{5}$ ?

Answer: $\frac{14}{5}$ . Add inside parentheses, multiply numerator, divide, then subtract fraction.

Flashcard 24: What is the value of $3(4+2)^2-5$ ?

Answer: $103$ . Apply PEMDAS: first compute inside parentheses, then exponent, multiply, and finally subtract.

Flashcard 25: What is the value of $4x-3\left(x-2\right)$ when $x=7$ ?

Answer: $13$ . Substitute variable, distribute negative over parentheses, then combine terms.

SSAT Upper Level Quantitative Flashcards: Multi Operation Problems

Multi Operation Problems

What this deck covers

How to use these flashcards

All flashcards

Flashcard 1: What is the value of 123(5−2)+7\frac{12}{3}\left(5-2\right)+7312​(5−2)+7?

Flashcard 2: What is the value of 34÷(12+14)\frac{3}{4}\div\left(\frac{1}{2}+\frac{1}{4}\right)43​÷(21​+41​)?

Flashcard 3: What is the value of (0.6×50)−(35×20)\left(0.6\times 50\right)-\left(\frac{3}{5}\times 20\right)(0.6×50)−(53​×20)?

Flashcard 4: What is the value of (12+13)(12−13)\left(\frac{1}{2}+\frac{1}{3}\right)\left(\frac{1}{2}-\frac{1}{3}\right)(21​+31​)(21​−31​)?

Flashcard 5: What is the value of ∣3−8∣+(−2)3\left|3-8\right|+\left(-2\right)^3∣3−8∣+(−2)3?

Flashcard 6: What is the value of 23×3+42÷22^3\times 3+4^2\div 223×3+42÷2?

Flashcard 7: What is the value of x2−9x−3\frac{x^2-9}{x-3}x−3x2−9​ when x=6x=6x=6?

Flashcard 8: What is the value of (12÷4)2−(3×2)\left(12\div 4\right)^2-\left(3\times 2\right)(12÷4)2−(3×2)?

Flashcard 9: What order of operations should you use to evaluate an expression with parentheses and exponents?

Flashcard 10: What is the value of 34+18×4\frac{3}{4}+\frac{1}{8}\times 443​+81​×4?

Flashcard 11: What is the value of 18−6÷3×418-6\div 3\times 418−6÷3×4?

Flashcard 12: What is the value of (23)÷(49)+1\left(\frac{2}{3}\right)\div\left(\frac{4}{9}\right)+1(32​)÷(94​)+1?

Flashcard 13: What is the value of 7+3(2−52)7+3\left(2-\frac{5}{2}\right)7+3(2−25​)?

Flashcard 14: What is the value of 16(23)+93\frac{16}{\left(2^3\right)}+\frac{9}{3}(23)16​+39​?

Flashcard 15: What is the value of (2.5)2−(1.5)2+(3)\left(2.5\right)^2-\left(1.5\right)^2+\left(3\right)(2.5)2−(1.5)2+(3)?

Flashcard 16: What is the value of (56−13)÷14\left(\frac{5}{6}-\frac{1}{3}\right)\div\frac{1}{4}(65​−31​)÷41​?

Flashcard 17: What is the value of 92−(34×8)\frac{9}{2}-\left(\frac{3}{4}\times 8\right)29​−(43​×8)?

Flashcard 18: What is the value of (6−32)×4\left(6-\frac{3}{2}\right)\times 4(6−23​)×4?

Flashcard 19: What is the value of 5−[2−(3−4)]5-\left[2-\left(3-4\right)\right]5−[2−(3−4)]?

Flashcard 20: What is the value of 12ab\frac{1}{2}ab21​ab when a=8a=8a=8 and b=34b=\frac{3}{4}b=43​?

Flashcard 21: What is the value of 25⋅15−310⋅20\frac{2}{5}\cdot 15-\frac{3}{10}\cdot 2052​⋅15−103​⋅20?

Flashcard 22: What is the value of 2[3x−4]2\left[3x-4\right]2[3x−4] when x=5x=5x=5?

Flashcard 23: What is the value of 2(3+7)5−65\frac{2\left(3+7\right)}{5}-\frac{6}{5}52(3+7)​−56​?

Flashcard 24: What is the value of 3(4+2)2−53(4+2)^2-53(4+2)2−5?

Flashcard 25: What is the value of 4x−3(x−2)4x-3\left(x-2\right)4x−3(x−2) when x=7x=7x=7?